{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "\n",
    "angles = [-1.9367, -1.57397, -1.30476, -0.871566, -0.57881, -0.180617, 0.088762, 0.451829, 0.80315, 1.20124, 1.49388, 1.83324, 2.20757, 2.54663, 2.87384, 3.23588, 3.53933, 3.93585, 4.21552, 4.5881, 4.91379, 5.25078, 5.6106, 5.9584, 6.32889, 6.67575, 6.99904, 7.28731, 7.67877, 8.05803, 8.31047, 8.71141, 9.02602, 9.57351, 10.0625, 10.4707, 10.9569, 11.599, 12.115, 12.5621, 13.041, 13.4848, 14.0483, 14.5981, 15.1887, 15.6567, 16.1766, 16.554, 17.1868, 17.7304, 18.3234, 18.7971, 19.3202, 19.7364, 20.2226, 20.7877, 21.3181, 21.9355, 22.4376, 22.8566, 23.3224, 23.971, 24.5066, 24.9992]\n",
    "angles.reverse()\n",
    "\n",
    "short_plot = (6, 2)\n",
    "small_plot = (15, 2)\n",
    "medium_plot = (18, 10)\n",
    "big_plot = (100, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import PIL.Image\n",
    "import numpy as np\n",
    "def read_image(image_name, cols):\n",
    "    image = PIL.Image.open(image_name)\n",
    "\n",
    "    np_image = np.array(image)\n",
    "    np_image = np_image / 500.\n",
    "    np_image = np.flipud(np_image)\n",
    "    image_copy = np_image.copy()\n",
    "    # mark needed columns with color\n",
    "    for col in cols:\n",
    "        image_copy[:,col] = 40\n",
    "\n",
    "    plt.figure(figsize=small_plot)\n",
    "    imgplot = plt.imshow(image_copy, origin='lower', cmap='jet')\n",
    "    return np_image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Ksb1N0oKXCaOsu8snGaIf2FOBM4B/F15u+Y7itttUWMIW9Q1caUTBtYIuJ8bG7S40OTvB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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f586cf7c748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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24jgSc7TPE2HvpRYlVrULYMN2NDWFwPmIOVakdU+eFC+tKLKdfaHdqLNO/E2b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\nEkZQkrY5RE+KRxorUiJc39JDNOZIZHeXprmwjmj1x7ST/HY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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f58a89ac080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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/KO+Tj7MfMzTbRJd2Dz2PLTzOi7okdFuY1+a6/kLscHywhcOPNFyaDRuG0erl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\nn5nmTo3hTYp/5gnvxZWpxo2OMJPzMEqORsyy1G3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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f586ae20160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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/EKwRkmTC1g5pOnpi8MLUeNiPLZwXd1CJiTpboj53YV3rkaQ1eOusGTErmoWC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\nI0S4Jb+5AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f586adf5748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3OZPHOIo9zOWpDc9WEV3vbmUCFySZNPBtiSKeO8hs7nbTiR1Jdn5aotRDtWRT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\nRERExIjh/wdKm0CfKAvOSwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f586adbf6d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scans = [\"scan10159.png\", \"scan10162.png\", \"scan10197.png\", \"scan10321.png\", \"scan00197.png\"] \n",
    "picked_columns = [[310, 630], [270], [200, 230, 680], [180, 600, 700], [670]]\n",
    "colors = ['red', 'blue', 'green', 'magenta', 'orange']\n",
    "\n",
    "images = []\n",
    "for scan_name, cols in zip(scans, picked_columns):\n",
    "    images.append(read_image(scan_name, cols))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def draw_depth_at_col(col, image, color, start_idx=0, end_idx=64):\n",
    "    y_list = list(range(0,len(angles)))\n",
    "    lineplot = plt.plot(y_list[start_idx:end_idx], image[start_idx:end_idx, col], color)\n",
    "    return image[:, col]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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hA01KN8HZ8dYhroiw9tRahq8fztpTa/Er5MfmAZuzRLyPBh6lwdgG1CtRj9V9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\nncpgBFAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f586acf3748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "depth_cols = []\n",
    "for image, cols, color in zip(images, picked_columns, colors):\n",
    "    for col in cols:\n",
    "        depth_cols.append((color, draw_depth_at_col(col, image, color)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f586ab17eb8>]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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9xu+5/7z7iY+I/9N1rm92PefGn0v/xf3xmB6/5XLSRgnU3gkjdERqpU5nHtND4yca0ePJ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aL3weLFsObdbLMmTeCTT6Qh+G9CpC6S9WPb0qqLwFqrsUiEjR1UgTs5BRtHt6LN943ZWHYjRpUR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\nOJzHBUVjR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AAzrlwBUS+RVXXrDE/XiIOf569YawUxiwvCjBKgsZVjWYNKsL22vM495TEO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\n/wPpzt3kerqy/AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f586ac73438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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eH+XJylk+xGUWMf67k5xq4Aqquq05eQ0dLQWz+jjf856Brhbt2xiofcUuKr0A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\nqeVM7CRJkiSp5UzsJEmSJKnl/h/pyBTqvVdY7AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f586ac66940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_diff_to_prev(input_list, color):\n",
    "    diff_array = [x - x_prev for x, x_prev in zip(input_list[:-1], input_list[1:])]\n",
    "    plt.plot(diff_array, color) \n",
    "    return diff_array\n",
    "\n",
    "start_idx = 0\n",
    "end_idx = 64\n",
    "plt.figure(figsize=medium_plot)\n",
    "change_array = None\n",
    "picked_array = None\n",
    "for color, depth_col in depth_cols:\n",
    "    diff_array = plot_diff_to_prev(depth_col[start_idx:end_idx], color)\n",
    "    if color == 'magenta':\n",
    "        change_array = diff_array\n",
    "        picked_array = depth_col[start_idx:end_idx]\n",
    "\n",
    "plt.figure(figsize=small_plot)\n",
    "change_array = picked_array - np.mean(picked_array)\n",
    "plt.plot(change_array)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.02587499999999987, -0.0061250000000001581, 0.031874999999999876, 0.001874999999999849, 0.029874999999999874, -0.1961250000000001, 0.049874999999999892, -0.034125000000000183, 0.0038749999999998508, 0.0058749999999998526, 0.035874999999999879, -0.064124999999999988, 0.035874999999999879, 0.001874999999999849, -0.024125000000000174, -0.062124999999999986, 0.039874999999999883, -0.020125000000000171, 0.075874999999999915, -0.024125000000000174, -0.0041250000000001563, -0.058124999999999982, -0.032125000000000181, -0.058124999999999982, 0.021874999999999867, -0.032125000000000181, 0.059874999999999901, -0.04412499999999997, 0.075874999999999915, -0.0041250000000001563, 0.021874999999999867, 0.0058749999999998526, -0.036125000000000185, -0.022125000000000172, -0.0041250000000001563, -0.058124999999999982, -0.026125000000000176, -0.030125000000000179, 0.045874999999999888, 0.035874999999999879, -0.026125000000000176, 0.041874999999999885, -0.086125000000000007, -0.060124999999999984, 0.031874999999999876, -0.010125000000000162, -0.024125000000000174, -0.048124999999999973, -0.038125000000000187, 0.039874999999999883, -0.026125000000000176, 0.037874999999999881, -0.020125000000000171, 0.051874999999999893, -0.014125000000000165, 0.019874999999999865, -0.0021250000000001545, 0.027874999999999872, 0.0058749999999998526, 0.021874999999999867, 0.023874999999999869, 0.085874999999999702, 0.085874999999999702, 0.11587499999999995]\n"
     ]
    },
    {
     "data": {
      "image/png": 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8VZGvLyh37YPMp0KBG8QfOEPOQoiIgdRqw19nJf0o/nDQdBBFEJSq92ccA0Mn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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f586abd7048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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iW7dsw+2yZNEOEIkmjKxXGVq1SrTISTybN8vGVp9IbtySCjgqZ1r1SHBw6/Xr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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f586ab3ae48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# apply correction to data\n",
    "query_image = images[0]\n",
    "fixed_image = query_image.copy()\n",
    "for col in range(query_image.shape[1]):\n",
    "    fixed_image[:, col] = query_image[:, col] - change_array\n",
    "    \n",
    "plt.figure(figsize=small_plot)\n",
    "imgplot = plt.imshow(fixed_image, origin='lower', cmap='jet')\n",
    "\n",
    "plt.figure(figsize=small_plot)\n",
    "col = 620\n",
    "depth_col = draw_depth_at_col(col, fixed_image, 'r', 12)\n",
    "depth_col = draw_depth_at_col(col, query_image, 'b', 12)\n",
    "\n",
    "change_array = list(change_array)\n",
    "change_array.reverse()\n",
    "print(change_array)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
